Solve Systems by Substitution and Elimination Review

Front

What is a system of equations?

Back

A set of two or more equations with the same variables that are solved together.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does it mean for a system of equations to have no solution?

Back

It means the lines represented by the equations are parallel and never intersect.

Tags

CCSS.8.EE.C.8A

Front

What does it mean for a system of equations to have infinitely many solutions?

Back

It means the equations represent the same line, so every point on the line is a solution.

Tags

CCSS.8.EE.C.8A

Front

What is the substitution method in solving systems of equations?

Back

A method where one equation is solved for one variable, and that expression is substituted into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the elimination method in solving systems of equations?

Back

A method where equations are added or subtracted to eliminate one variable, making it easier to solve for the other.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: y = 2x - 11 and -3y = -6x - 15. What is the solution?

Back

No solution (parallel lines).

Tags

CCSS.8.EE.C.8B

Front

Solve for x and y: y = 2x + 1 and y = 4x - 1. What is the solution?

Back

(1, 3).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the next step in solving the system: 5x - 4y = -16 and 5x + 4y = -14?

Back

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

Solve the system: x + 2y = 2 and x = -4y + 2. What is the solution?

Back

(2, 0).

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What does the second equation need to be multiplied by to eliminate y in the system: 7x + 5y = -12 and 10x + 5y = 5?

Back

-1.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6